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Comparative analysis of space-time signal processing algorithms in complex and real forms

DOI 10.18127/j00338486-201909(14)-02


A.I. Perov – Dr.Sc.(Eng.), Professor, «National Research University «MPEI» (Moscow)
S.P. Ippolitov – Post-graduate, Department of Radio System, «National Research University «MPEI» (Moscow)

The effective operation of a navigation receiver of satellite radio navigation systems when exposed to interference is possible only with the adoption of special methods of protection against interference. One of these methods is the use of an antenna array as part of a navigation receiver. Research in this direction dates back to the 60s of the last century and is based on the representation of the observed processes in form of complex envelopes. It is noted in the literature that the representation of signals in complex and real forms is equivalent. Complex signal presentation provides convenience for mathematical calculations, but when implementing the processing algorithm in the complex form, significant hardware resources are required. The article provides the synthesis of algorithm for estimating the initial phase of a navigation signal from the process observed from the antenna array under the influence of interference, where the observed process is represented by the representation of the antenna array signals as a set of quadrature components. Algorithms for estimating the initial phase of navigation signal under influence of interference for observed process in both real and complex form are presented; the simulation model of a spatial part of signal processing algorithms in both forms and a comparison of hardware resource costs for the implementation of these algorithms are described. In the synthesis of algorithms, the assumption is made that the interference appears to be white Gaussian noise. The results of simulation of the spatial part of the synthesized algorithms show identical interference suppression characteristics for both waveforms, which confirms the thesis of equivalence of waveforms. The analysis of the costs of hardware resources in the implementation of spatial processing in real and complex forms. The results of the analysis show that the processing algorithm in real form requires significantly less hardware resources. In particular, for a four-element antenna array, there are 34 hardware multipliers and 71 hardware adders less.

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